Mathematics, 02.02.2020 12:44 1630013
Write the given expression as an algebraic expression in x. tan(2 cos^-1(x))
Answers: 2
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![[cosy=\frac{x}{1} =\frac{base}{hypotenuse} ,which\: means, tany = \frac{perpendicular}{base} =\frac{hypotenuse^2-base^2}{base} ]](/tpl/images/0492/9560/d2385.png)
![\bf tan\left[ 2cos^{-1}(x) \right]\implies tan\left[ 2cos^{-1}\left( \frac{x}{1} \right) \right] \\\\\\ \textit{if we say }cos^{-1}\left( \frac{x}{1} \right)=\theta\textit{ that means }tan\left[ 2cos^{-1}\left( \frac{x}{1} \right) \right]\iff tan(2\theta)\\\\ -----------------------------\\\\ cos^{-1}\left( \frac{x}{1} \right)=\theta\implies cos(\theta)=\cfrac{x}{1}\cfrac{\leftarrow adjacent=a}{\leftarrow hypotenuse=c}\\\\ -----------------------------\\\\ ](/tpl/images/0492/9560/0bcee.png)
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Write the given expression as an algebraic expression in x. tan(2 cos^-1(x))...
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